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Simplifying 3(2n + 2) + 2(n + -7) = n + 3 Reorder the terms: 3(2 + 2n) + 2(n + -7) = n + 3 (2 * 3 + 2n * 3) + 2(n + -7) = n + 3 (6 + 6n) + 2(n + -7) = n + 3 Reorder the terms: 6 + 6n + 2(-7 + n) = n + 3 6 + 6n + (-7 * 2 + n * 2) = n + 3 6 + 6n + (-14 + 2n) = n + 3 Reorder the terms: 6 + -14 + 6n + 2n = n + 3 Combine like terms: 6 + -14 = -8 -8 + 6n + 2n = n + 3 Combine like terms: 6n + 2n = 8n -8 + 8n = n + 3 Reorder the terms: -8 + 8n = 3 + n Solving -8 + 8n = 3 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. -8 + 8n + -1n = 3 + n + -1n Combine like terms: 8n + -1n = 7n -8 + 7n = 3 + n + -1n Combine like terms: n + -1n = 0 -8 + 7n = 3 + 0 -8 + 7n = 3 Add '8' to each side of the equation. -8 + 8 + 7n = 3 + 8 Combine like terms: -8 + 8 = 0 0 + 7n = 3 + 8 7n = 3 + 8 Combine like terms: 3 + 8 = 11 7n = 11 Divide each side by '7'. n = 1.571428571 Simplifying n = 1.571428571
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